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23142423200 = 2552132225233
BaseRepresentation
bin10101100011011001…
…010101101010100000
32012201211112220111012
4111203121111222200
5334343430020300
614344222240052
71446330231401
oct254331255240
965654486435
1023142423200
1198a6327096
12459a426028
13224a737450
1411977a39a8
15906a94435
hex563655aa0

23142423200 has 72 divisors (see below), whose sum is σ = 60842348028. Its totient is φ = 8544890880.

The previous prime is 23142423191. The next prime is 23142423209. The reversal of 23142423200 is 232424132.

It is an interprime number because it is at equal distance from previous prime (23142423191) and next prime (23142423209).

It can be written as a sum of positive squares in 6 ways, for example, as 2667102736 + 20475320464 = 51644^2 + 143092^2 .

It is not an unprimeable number, because it can be changed into a prime (23142423209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102217 + ... + 1123016.

Almost surely, 223142423200 is an apocalyptic number.

23142423200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142423200 is an abundant number, since it is smaller than the sum of its proper divisors (37699924828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23142423200 is a wasteful number, since it uses less digits than its factorization.

23142423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225266 (or 2225253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23142423200 its reverse (232424132), we get a palindrome (23374847332).

The spelling of 23142423200 in words is "twenty-three billion, one hundred forty-two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 2225233 4450466 8900932 11126165 17801864 22252330 28928029 35603728 44504660 55630825 57856058 71207456 89009320 111261650 115712116 144640145 178018640 222523300 231424232 289280290 356037280 445046600 462848464 578560580 723200725 890093200 925696928 1157121160 1446401450 1780186400 2314242320 2892802900 4628484640 5785605800 11571211600 23142423200